The 4th trem of an Ap is zeors .prove that 25th term of the APis three times its 11th term

The 4th trem of an Ap is zeors .prove that 25th term of the APis three

1.	The 4th trem of an Ap is zeors .prove that 25th term of the APis three times its 11th term
Answer» a4=0a+(4-1)d=0a+3d=0 ....(1)We need to prove thata25=3×a11i.e, a+24d = 3(a+10d)Proof:a+24d. =3(a+10d)a+3d+21d =3(a+3d+7d)(a+3d)+21d =3{(a+3d)+7d}0+21d =3{0+7d} ....Using(1)21d =21d L.H.S = R.H.S